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NFourierSeries

NFourierSeries[expr, t, n]
gives a numerical approximation to the order n Fourier exponential series expansion of expr, where expr is a periodic function of t with period

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To use NFourierSeries, you first need to load the Fourier Series Package using Needs["FourierSeries`"].

The numerical approximation to the order n Fourier exponential series expansion of expr is by default defined to be F_k^{k t}, where F_k is given by .

Different choices for the period of expr can be specified using the option FourierParameters.

With the setting FourierParameters->{a, b}, expr is assumed to have a period of , and the order n Fourier exponential series expansion computed by NFourierSeries is , where F_k is given by .

In addition to the option FourierParameters, NFourierSeries can also accept the options available to NIntegrate. These options are passed directly to NIntegrate.